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Finding the Third Proportional to 230,852 and 360,856

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Solution

The third proportional to 230,852 and 360,856 is: 564,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852 : 360,856 = 360,856 : x
  2. Step 2: Convert to fraction form
    230,852/360,856 = 360,856/x
  3. Step 3: Cross multiply
    230,852x = 360,856 × 360,856
  4. Step 4: Simplify right side
    230,852x = 130,217,052,736
  5. Step 5: Solve for x
    x = 130,217,052,736/230,852
  6. Step 6: Final answer
    x = 564,071.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.